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arXiv · 1906.09001

Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions

István Faragó·Dušan Repovš
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Abstract

We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.

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István Faragó, Dušan Repovš. 2019-06-21. Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions. https://doi.org/10.1016/j.na.2019.06.013

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